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# Find the smallest number by which 85176 must be divided so that it becomes a perfect square

**Given: **A number $85176$.

**To do: **To find the smallest number by which 85176 must be divided so that it becomes a perfect square.

**Solution:**

Given Number$=8517$

$=\underline{2\times2}\times2\times\underline{3\times3}\times7\times\underline{13\times13}$

Here, all are perfect square, except $2$ and $7$.

Thus, the given number$( 8517)$ should be divided by $( 2\times7=14)$.

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